How do you simplify ${(\sqrt{5})}^{6}$ $(sqrt5)^6$ ?

Question

1848 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-04T01:23:02

You need this property: ${(x^{a})}^{b} = x^{a b}$ $(x^a)^b = x^(ab)$ ,

and this equallity: $\sqrt{x} = x^{\frac{1}{2}}$ $sqrt x = x^(1/2)$ ,

to simplify: ${(\sqrt{5})}^{6} = {(5^{\frac{1}{2}})}^{6} = 5^{\frac{6}{2}} = 5^{3} = 125$ $(sqrt 5)^6 = (5^(1/2))^6 = 5^(6/2) = 5^3 = 125$

How do you simplify (sqrt5)^6(√5)6(sqrt5)^6?